Editing Helmholtz decomposition (section)

=== Electrodynamics ===

The Helmholtz theorem is of particular interest in [[electrodynamics]], since it can be used to write [[Maxwell's equations]] in the potential image and solve them more easily. The Helmholtz decomposition can be used to prove that, given [[electric current density]] and [[charge density]], the [[electric field]] and the [[magnetic flux density]] can be determined. They are unique if the densities vanish at infinity and one assumes the same for the potentials.<ref name="petrascheck2015" />